Abstract
We consider α′ corrections to four-point correlators of half-BPS operators in mathcal{N} = 4 super Yang-Mills theory in the supergravity limit. By demanding the correct behaviour in the flat space limit, we find that the leading (α′)3 correction to the Mellin amplitude is fixed for arbitrary charges of the external operators. By considering the mixing of double-trace operators we can find the (α′)3 corrections to the double-trace spectrum which we give explicitly for su (4)-singlet operators. We observe striking patterns in the corrections to the spectra which hint at their common ten-dimensional origin. By extending the observed patterns and imposing them at order (α′)5 we are able to reproduce the recently found result for the correction to the Mellin amplitude for leftlangle {mathcal{O}}_2{mathcal{O}}_2{mathcal{O}}_p{mathcal{O}}_prightrangle correlators. By applying a similar logic to the [0, 1, 0] channel of su(4) we are able to deduce new results for the correlators of the form leftlangle {mathcal{O}}_2{mathcal{O}}_3{mathcal{O}}_p-1{mathcal{O}}_prightrangle .
Highlights
Su(4) quantum numbers [8] as well as explicit results for the leading order three-point functions of two half-BPS operators and one double-trace operator [9]
By demanding the correct behaviour in the flat space limit, we find that the leading (α )3 correction to the Mellin amplitude is fixed for arbitrary charges of the external operators
We find that the corrections to the three-point functions vanish while the anomalous dimensions exhibit a very simple structure
Summary
Operator product expansion, the contributions to H in the supergravity limit are controlled by unprotected double-trace operators of the form [Op∂. They have classical twist τ , spin and su(4) representation [a, b, a]. For general su(4) channels, not all of the degeneracy is lifted by the first correction to the dimensions This feature, as well as the surprisingly simple form of the anomalous dimensions, is related to a novel ten-dimensional symmetry which is exhibited in the supergravity tree-level correlators [13].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
